The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X
0 0 X 0 0 0 0 0 0 0 0 X X X X X 0
0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X 0
0 0 0 0 0 X 0 0 0 X 0 0 0 X X X X
0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X
0 0 0 0 0 0 0 X 0 X X X X 0 X 0 X
0 0 0 0 0 0 0 0 X X X X 0 0 0 X 0
generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+34x^10+68x^12+68x^14+85x^16+512x^17+85x^18+68x^20+68x^22+34x^24+1x^34
The gray image is a linear code over GF(2) with n=34, k=10 and d=10.
This code was found by Heurico 1.16 in 2.64 seconds.